Heat oil in a dutch oven over medium-high heat. Add carrots, celery, onion, and garlic and sauté until onions are soft, 4 to 6 minutes. Add broth, chicken, bay leaves, and thyme. Season with salt and pepper. Cover and bring to a boil. Reduce heat and simmer until the internal temperature of chicken reaches 165 degrees F, 24 to 26 minutes.

Discard bay leaves and thyme sprigs. Remove chicken to a bowl and shred, with two forks, into bite-size pieces. Stir pasta into broth and cook until tender, 8 to 10 minutes. Add spinach, dill, lemon zest, lemon juice, and shredded chicken. Season with salt and pepper.

Serve with Garlic Toast (see below).

To make the garlic toast: Arrange the baguette slices in a single layer on a baking sheet. Stir together the olive oil garlic and brush over bread. Season with salt and pepper. Bake at 375 degrees F until crisp and golden, 8 to 10 minutes.

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